Peter invested $1860 for 10 months at a rate of 3.8%. How much interest did he earn?

Answer:803.84

Step-by-step explanation:

3.14 x (16^2) = 803.84.  

16^2 is 256 so multiply that by 3.14

Answer:

Step-by-step explanation:

From the dot plot of start of school year,

Maximum value of the miles run = 10

Minimum value of the miles run = 5

Range of the data set = 10 - 5

                                    = 5 miles

From the dot plot of End of school year,

Maximum value of the miles run = 10

Minimum value of the miles run = 6

Range of the data set = 10 - 6

                                    = 4 miles

The range at the start of the year was 5 miles and the range at the end of the year was 4 miles.

Answer:

Your answer is the first option, Lorenzo's icing will be darker!

Step-by-step explanation:

If they both added the same amount of yellow dye, than blue will determine how dark their icing is. Since Mariana added less blue, her dye will be lighter!

Answer:

g

Step-by-step explanation:

Answer:

k = 7/6

Step-by-step explanation:

Answer:

Minimum < Q1 < Median < Q3< Maximum

Step-by-step explanation:

Given

Minimum, Median, Maximum, Q3 and Q1

See attachment for complete question

Required

Order from least to greatest

In a dataset, the range is:

[tex]Range = Maximum - Minimum[/tex]

This implies that, the minimum is the least and the maximum is the highest of the dataset

So, we have:

Minimum <         <              <           < Maximum

The median is the middle item; So, the above becomes

Minimum <         < Median <           < Maximum

In a dataset, the IQR is:

[tex]IQR = Q_3 - Q_1[/tex]

This implies that:

[tex]Q_3 > Q_1[/tex]

So, we have:

Minimum < Q1 < Median < Q3< Maximum

Answer:

135

Step-by-step explanation:

so we need to find the volume of the rectangle

V= L x W x H

V = [tex]2\frac{1}{4}[/tex] x [tex]\frac{3}{4}[/tex] x [tex]1\frac{1}{4}[/tex] = [tex]\frac{135}{64}[/tex]

so now we need to find the volume of the cubes

V = a^3

1/4^3 = 1/64

so:

135/64 ÷ 1/64 = 135

SO135 CUBES :)

Answer:hope this helps

Step-by-step explanation:

(x^2 - 2) (5 x^3 - 3)

(x (5 x^2 - 10) - 3) x^2 + 6

Polynomial discriminant:

Δ = -1772976600

Derivative:

d/dx(5 x^5 - 3 x^2 - 10 x^3 + 6) = x (25 x^3 - 30 x - 6)

Indefinite integral:

integral(6 - 3 x^2 - 10 x^3 + 5 x^5) dx = (5 x^6)/6 - (5 x^4)/2 - x^3 + 6 x + constant

Answer:

15wy

Step-by-step explanation:

if toh take 19 and divide it by 16 that's how I got my answer on edunity

Answer:

Step-by-step explanation:

Perimeter= all sides added together

so in this case

3x+1 = 2x + 2x + x-1 + x+2 + x-1 + x + 2

now you may be wondering why i put two 2x's, two 2+x, and two x-1  , the far left side is 2x and has 2 lines and so does the bottom side which has 2 lines so theyre congruent ( the same case for the 2+x and x-1 )  so you need to account for all sides.

so lets simplify this huge equation!

3x+1 = 4x + 1x - 1 + 1x + 2 + 1x - 1 + 1x + 2

3x+1 = 8x - 1 + 2 - 1 + 2

3x + 1 = 8x + 2

-3x on both sides

1 = 5x + 2

-2 on each side

-1 = 5x

x = -1/5

Answer: [tex]6[/tex] x [tex]10^{4}[/tex]

9.375 x [tex]10^{-23[/tex]

Step-by-step explanation:

Answer:principal. Amount of money originally borrowed in a loan. interest. Amount of money the borrower must pay for the use of someone else's money.

Step-by-step explanation:

Answer: The answer is principal

Step-by-step explanation:

It's in the definition of the word principal which means the amount f money originally deposited, borrowed, or loaned.

Step-by-step explanation:

your mom gives you 200 dollars to start your candy business. you earn 2 cents for every piece of candy you sell. how much money, b will you have if you've sold x candy

or

the product of .02 and x plus 200 equals b.

Answer:

b is equal to 200 plus the product of 0.02 and x.

Answer:

Step-by-step explanation:

Outlier

Answer:

h= -128t

Step-by-step explanation:

- 16t+128t

-256t + 128

From the figure, we can notice that : Surface area of the pyramid is equal to Sum of the area of the square and Sum of the areas of 4 triangles.

We know that : Area of a square is given by : Side x Side

Given : Side of the square = 3 cm

⇒  Area of the square = 3 x 3 = 9 cm²

We know that : Area of the triangle = 1/2 x Base x Height

From the figure, We can notice that, Base of each triangle = 3 cm and height of the each triangle = 3 cm

⇒ Area of one triangle = 1/2 × 3 × 3 = 4.5 cm²

Surface area of the pyramid = Surface of the square + Surface area of the 4 triangles

⇒  Surface area of the pyramid = 9 cm² + 4(4.5) cm²

⇒  Surface area of the pyramid = 9 cm² + 18 cm² = 27 cm²

Answer : Surface area of the pyramid = 27 cm²

The Answer Is H=3.5

have am amazing day <3

Answer:

[tex]h = \frac{7}{2} [/tex]

Step-by-step explanation:

1) Divide both sides by -4.

[tex]h = \frac{ - 14}{ - 4} [/tex]

2) Two negative makes a positive.

[tex]h = \frac{14}{4} [/tex]

3) Simplify 14/4 to 7/2.

[tex]h = \frac{7}{2} [/tex]

Therefor, the answer is 7/2.

Answer:

Area  =  40mm

Example:

The below-solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the trapezoid area.

Example Problem :

Find the area of a trapezoid having the bottom length a = 15 cm, top length b = 12 & height h = 9 cm?

Solution :

The given values

bottom length a = 15 cm

top length b = 12 cm

height h = 10 cm

Step by step calculation

formula to find area = ((a + b)/2) h

substitute the values

= ((15 + 12)/2) x 9

= 121.5 cm2

Answer:

A. (4,2)

Step-by-step explanation:

In coordinates, the x-value appears first then the y-value. This means coordinates are set up like, (x,y). So, to solve find the coordinates whose values match one pair of values on the table. Option A has x=4 and y=2. In the last row of the table, you can see the same values with x=4 and y=2. Therefore, A is correct.

Step-by-step explanation:

apskaičiuoti trikampių perimetrą?

Answer:

$16.25

Step-by-step explanation:

Answer:

Top consumer that receives its energy from other consumers

Step-by-step explanation:

It eats other fish like the bass and sunfish

Answer:

[tex]20d + 2 = 0 \\ 20d \: = - 2 \\ = d = \frac{ - 2}{20} \\d = \frac{ - 1}{10} [/tex]

Answer:

x = 88

Step-by-step explanation:

Opposite angles in a quadrilateral inscribed in a circle are supplementary

Supplementary meaning that the sum of the two angle measures is 180

The opposite angle of "x" is ∠B which has a measure of 92°

Thus, 92 + x = 180

180 - 92 = 88

Hence, x = 88  

Answer:

A. [tex]Log_p N = b \ and \ b^p = N[/tex]

Step-by-step explanation:

A. The given options are;

[tex]Log_p N = b \ and \ b^p = N[/tex]

For [tex]Log_p N = b[/tex] we have;

[tex]p^b = N[/tex]

However;

[tex]b^p = N[/tex]

Where, p ≠ b

[tex]p^b \neq b^p[/tex]

Therefore;

N ≠ N for the given pair and the pair are therefore, not equivalent

B. x = √y and [tex]x = y^{1/2}[/tex]

We note that

x = √y = [tex]y^{1/2}[/tex]

We have;

x = [tex]y^{1/2}[/tex], by transitive property

Therefore, the pair, x = √y and [tex]x = y^{1/2}[/tex] are equivalent

C. [tex]Log_b N = p \ and \ b^p = N[/tex]

From [tex]Log_b N = p[/tex], we have;

[tex]b^p = N[/tex]

Therefore, [tex]Log_b N = p \ and \ b^p = N[/tex] are equivalent pairs as [tex]b^p = N[/tex] can be obtained from [tex]Log_b N = p[/tex]

D. ㏑x = y and x = [tex]e^y[/tex]

[tex]ln \ x = ln_e \ x = y[/tex], therefore, by rules of logarithm, we have;

x = [tex]e^y[/tex]

Therefore, ㏑x = y and x = [tex]e^y[/tex] are equivalent pairs, as x = [tex]e^y[/tex] can be obtained from ln x.

Therefore;

The option which are not equivalent pair is option is [tex]Log_p N = b \ and \ b^p = N[/tex]